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maxonik [38]
2 years ago
12

What is the solution of 3x=-12

Mathematics
2 answers:
faltersainse [42]2 years ago
3 0

Answer:

x = -4

Step-by-step explanation:

divide both sides by 3 to get x = -4

shtirl [24]2 years ago
3 0

Answer:

good luck on the rest of your hmwork :D

Step-by-step explanation:

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Jason states that Triangle A B C is congruent to triangle R S T. Kelley states that Triangle A B C is congruent to triangle T S
Brilliant_brown [7]

Answer:

The correct option is;

Jason's statement is correct. RST is the same orientation, shape, and size as ABC

Step-by-step explanation:

Here we have

ABC = (2, 1), (3, 3), (4, 1)

RST = (-4, -2), (-3, 0), (-2, -2)

Therefore the length of the sides are as follows

AB = \sqrt{(2-3)^2+(1-3)^2} = \sqrt{5}

AC = \sqrt{(2-4)^2+(1-1)^2} =2

BC = \sqrt{(3-4)^2+(3-1)^2} = \sqrt{5}

For triangle SRT we have

RS = \sqrt{(-4-(-3))^2+(-2-0)^2} = \sqrt{5}

RT = \sqrt{(-4-(-2))^2+(-2-(-2))^2} = 2

ST = \sqrt{(-3-(-2))^2+(0-(-2))^2} = \sqrt{5}

Therefore their dimensions are equal

However the side with length 2  occurs between (2, 1) and (4, 1) in triangle ABC and between (-4, -2) and (-2, -2) in triangle RST

That is Jason's statement is correct. RST is the same orientation, shape, and size as ABC.

4 0
3 years ago
Read 2 more answers
A rectangular park is 150 yards on one side and 125 yards on the other.
Ket [755]
So, there is a rectangular park with longer side (length) 150 yards and shorter side (width) 125 yards.

so walking around the rectangular park once is like covering the Perimeter (p) of the rectangular park.

So, lets find the perimeter of the park.
Perimeter of rectangle = 2 ( l + w)
                                    = 2 ( 150 + 125 )
                                    = 2 * 275
                                    = 550 yards

Now, walking around the park two times is like doubling the Perimeter of the rectangle. So, when Debbie walks around the park 2 times, he covers the perimeter of the rectangular field twice.

i.e. Debbie walked 2 * Perimeter
                               = 2 * 550
                               = 1100 yards

Now, If Debbie wanted to walk 1,000,000 yards, she has to walk the  rectangular park (1,000,000 / the Perimeter of the park)
         i.e.  1,000,000 / 550
             = 1818.18 times

So, 
(a) she walks 1100 yards
(b) She have to walk 1818.18 times
4 0
3 years ago
The height h in feet of a ball thrown vertically upward from the top of a 288-foot tall building is given by h=288+48t-16t^2 whe
mr Goodwill [35]

6 sec can take penny to strike the ground.

Solution:

Given data:

H_0=288 feet

V_0=48 feet

h(t)=288+48t-16t^2

Re-arrange the terms from greatest degree to smallest degree.

h(t)=-16t^2+48t+288

We can solve it by applying quadratic formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Here a = –16, b = 48, c = 288

$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}

$t=\frac{-48\pm \sqrt{2304+18432}}{-32}

$t=\frac{-48\pm \sqrt{20736}}{-32}

$t=\frac{-48\pm144}{-32}

Now, write find two t's using plus and minus operation.

$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}

$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}

t = –3 (or)   t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

Hence 6 sec can take penny to strike the ground.

8 0
3 years ago
How do I turn this equation into standard form?<br> 8x=-5y+3
NARA [144]

Answer:

Step-by-step explanation:

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.

Ax+By=C

Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.

8x−3=y

Move y to the left side of the equation because it contains a variable.

8x−3−y=0

Move 3 to the right side of the equation because it does not contain a variable.

8x−y=3

8 0
3 years ago
A rectangles length is 1.5 times its width. The perimeter of the rectangle is four more than 3 times the length. What are the di
vovikov84 [41]

Answer:

  8 by 12 units

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4

The perimeter is given by the formula ...

  P = 2(length + width)

Filling in the given values for the variables, we have ...

  4.5w +4 = 2(w +1.5w)

  4 = 0.5w . . . . . . subtract 4.5w and collect terms

  8 = w . . . . . . . . . multiply by 2

  length = 1.5×8 = 12

The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.

4 0
3 years ago
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